write the common defference of an A.P whose n th term is 3n+7
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let n be 1 so 3(1)+7=10
let n be 2,so 3(2)+7=13
so a2-a1 is 3
i m nt sure if it is right than tell
let n be 2,so 3(2)+7=13
so a2-a1 is 3
i m nt sure if it is right than tell
Answered by
1
hi mate
Given:
an = 3n + 7…………(1)
Put n = 1 in eq 1
a1 = 3×1 +7
a1 = 3 +7
a1 = 10
Put n= 2 in eq 1
a2= 3×2+7
a2 = 6 +7
a2 = 13
Put n = 3 in eq 1
a3 = 3×3 +7
a3= 9 +7
a3 = 16
First three terms of an AP are= 10, 13, 16
Common difference (d) = a2 - a1 or a3 - a2
d = a2 - a1= 13 -10
d = 3
Hence, the common difference of an AP is 3.
hope this helps you
Given:
an = 3n + 7…………(1)
Put n = 1 in eq 1
a1 = 3×1 +7
a1 = 3 +7
a1 = 10
Put n= 2 in eq 1
a2= 3×2+7
a2 = 6 +7
a2 = 13
Put n = 3 in eq 1
a3 = 3×3 +7
a3= 9 +7
a3 = 16
First three terms of an AP are= 10, 13, 16
Common difference (d) = a2 - a1 or a3 - a2
d = a2 - a1= 13 -10
d = 3
Hence, the common difference of an AP is 3.
hope this helps you
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